100211221211020 has 96 divisors (see below), whose sum is σ = 224100571101120. Its totient is φ = 37533619814400.

The previous prime is 100211221211011. The next prime is 100211221211027. The reversal of 100211221211020 is 20112122112001.

It is a junction number, because it is equal to n+sod(n) for n = 100211221210985 and 100211221211003.

It is not an unprimeable number, because it can be changed into a prime (100211221211027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19882672 + ... + 24407848.

It is an arithmetic number, because the mean of its divisors is an integer number (2334380948970).

Almost surely, 2^{100211221211020} is an apocalyptic number.

100211221211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100211221211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112050285550560).

100211221211020 is an abundant number, since it is smaller than the sum of its proper divisors (123889349890100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100211221211020 is a wasteful number, since it uses less digits than its factorization.

100211221211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4525883 (or 4525881 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100211221211020 its reverse (20112122112001), we get a palindrome (120323343323021).

The spelling of 100211221211020 in words is "one hundred trillion, two hundred eleven billion, two hundred twenty-one million, two hundred eleven thousand, twenty".